In the figure, if m∠abd = 120º, then m∠adc = º.

We must use the Law of Sines to solve this question, which is as follows:

a/sinA = b/sinB = c/sinC

This applies to any triangle. We are told that ∠ABD = 120º. We are asked to solve for ∠ADC. We know that ∠ADC + ∠ADB = 180º. If we assign ∠ADC = x, then ∠ADB = 180º - x. We can now apply the law of sines to this data.

35/sin120 = 30/sin(180-x)

sin(180-x) = (30/35)(sin120)

sin(180-x) = 0.742

sin-1(sin(180-x)) = sin-1(0.742)

180 - x = 48º

x = 132º

We have already assigned x = ∠ADC; therefore, ∠ADC = 132º.

Step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

you already gave the answer

step-by-step explanation: